
Time bar (total: 5.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 4 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 5 |
| 65.6% | 65.6% | 34.3% | 0.1% | 0% | 0% | 0% | 6 |
| 79.7% | 79.6% | 20.3% | 0.1% | 0% | 0% | 0% | 7 |
| 83.6% | 83.5% | 16.4% | 0.1% | 0% | 0% | 0% | 8 |
| 90.2% | 90.1% | 9.8% | 0.1% | 0% | 0% | 0% | 9 |
| 92% | 91.9% | 8% | 0.1% | 0% | 0% | 0% | 10 |
| 95.2% | 95.1% | 4.8% | 0.1% | 0% | 0% | 0% | 11 |
| 96% | 96% | 4% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 437.0ms | 8 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sub: 105.0ms (47.8% of total)ival-div: 56.0ms (25.5% of total)ival-add: 45.0ms (20.5% of total)ival-true: 6.0ms (2.7% of total)exact: 5.0ms (2.3% of total)ival-assert: 3.0ms (1.4% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (+.f64 x y)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 29.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-sub: 5.0ms (38.2% of total)ival-add: 4.0ms (30.5% of total)ival-div: 3.0ms (22.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 464× | lower-fma.f64 |
| 464× | lower-fma.f32 |
| 312× | unsub-neg |
| 260× | div-sub |
| 226× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 51 |
| 1 | 66 | 47 |
| 2 | 168 | 46 |
| 3 | 494 | 45 |
| 4 | 1095 | 45 |
| 5 | 1632 | 45 |
| 6 | 1885 | 45 |
| 7 | 1991 | 45 |
| 8 | 2049 | 45 |
| 9 | 2062 | 45 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 21 | 9 |
| 2 | 38 | 9 |
| 3 | 79 | 9 |
| 4 | 186 | 9 |
| 5 | 346 | 9 |
| 6 | 616 | 9 |
| 7 | 904 | 9 |
| 8 | 948 | 9 |
| 9 | 964 | 9 |
| 10 | 965 | 9 |
| 0 | 965 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 464× | lower-fma.f64 |
| 464× | lower-fma.f32 |
| 224× | lower-*.f64 |
| 224× | lower-*.f32 |
| 152× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 21 | 23 |
| 2 | 38 | 23 |
| 3 | 79 | 23 |
| 4 | 186 | 23 |
| 5 | 346 | 23 |
| 6 | 616 | 23 |
| 7 | 904 | 23 |
| 8 | 948 | 23 |
| 9 | 964 | 23 |
| 10 | 965 | 23 |
| 0 | 965 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) |
(-.f64 x y) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 16.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-div: 5.0ms (56.5% of total)ival-sub: 2.0ms (22.6% of total)ival-add: 1.0ms (11.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- 2 x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* 2 x) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) (taylor -inf y) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (- 2 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- 2 y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 2 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (+ x y)) |
| 1× | egg-herbie |
| 12 038× | lower-fma.f64 |
| 12 038× | lower-fma.f32 |
| 4 472× | lower-*.f64 |
| 4 472× | lower-*.f32 |
| 2 680× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 985 |
| 1 | 571 | 921 |
| 2 | 1809 | 857 |
| 3 | 7619 | 851 |
| 0 | 8589 | 806 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) (/.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(-.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (-.f64 x #s(literal 2 binary64)) y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* y (- (/ x y) 1)) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) y)) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) y) (-.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) y)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y) (-.f64 #s(literal 2 binary64) x))) y)) #s(literal 2 binary64)) y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) #s(literal 1 binary64)) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (/ y (- 2 y))) |
(/.f64 y (+.f64 #s(literal -2 binary64) y)) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))))) x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))))) x (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- 2 y) |
(-.f64 #s(literal 2 binary64) y) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 x)) y) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
| 4 750× | lower-fma.f64 |
| 4 750× | lower-fma.f32 |
| 4 670× | lower-*.f64 |
| 4 670× | lower-*.f32 |
| 4 200× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 60 | 20 |
| 2 | 525 | 20 |
| 3 | 7752 | 20 |
| 0 | 8474 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(-.f64 x y) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 y y))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 #s(literal 2 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 #s(literal 2 binary64) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (+.f64 y x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (+.f64 y x)) (-.f64 (neg.f64 (+.f64 y x)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (pow.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y))) |
(*.f64 (pow.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (pow.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 y x) #s(literal 4 binary64)) (-.f64 x y))) |
(*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 2 binary64) (+.f64 y x))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 y x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 y x))) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x)) (pow.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) x (*.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (+.f64 #s(literal -4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (-.f64 x y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 2 binary64) (+.f64 y x))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal -1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 2 binary64) (+.f64 y x)))) |
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(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) |
(-.f64 x (neg.f64 y)) |
(+.f64 (-.f64 x #s(literal 0 binary64)) y) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 x x))) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 y x) y))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) y) |
(+.f64 (neg.f64 (neg.f64 x)) y) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y))))) |
(+.f64 y (*.f64 #s(literal 1 binary64) x)) |
(+.f64 y (neg.f64 (neg.f64 x))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 16 977 to 1 879 computations (88.9% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 682 | 12 | 694 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 682 | 13 | 695 |
| Status | Accuracy | Program |
|---|---|---|
| 51.6% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (+.f64 y x)) | |
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 66.5% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) |
| 34.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) | |
| ▶ | 39.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| 51.5% | (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| 90.1% | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| ▶ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 50.3% | (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) | |
| 46.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) | |
| ▶ | 54.0% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| 34.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| ▶ | 39.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 251 to 195 computations (22.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (-.f64 (+.f64 y x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 1 584× | lower-fma.f64 |
| 1 584× | lower-fma.f32 |
| 912× | div-sub |
| 832× | lower-*.f64 |
| 832× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 130 |
| 0 | 35 | 130 |
| 1 | 67 | 130 |
| 2 | 111 | 128 |
| 3 | 211 | 128 |
| 4 | 459 | 128 |
| 5 | 847 | 128 |
| 6 | 1834 | 128 |
| 7 | 2890 | 128 |
| 8 | 3417 | 128 |
| 9 | 3520 | 128 |
| 10 | 3688 | 128 |
| 11 | 3824 | 128 |
| 12 | 4068 | 128 |
| 13 | 5048 | 128 |
| 14 | 5048 | 128 |
| 0 | 5048 | 128 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+.f64 y x) |
y |
x |
#s(literal 2 binary64) |
(-.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(-.f64 (+.f64 x y) #s(literal 2 binary64)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(literal 2 binary64) |
(-.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
x |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) | |
| accuracy | 21.416278496000707 | #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) | |
| accuracy | 38.51547294917996 | #s(approx (- 2 (+ x y)) (neg.f64 x)) | |
| accuracy | 0 | (-.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 x (-.f64 #s(literal 2 binary64) x)) | |
| accuracy | 29.454205257737012 | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) | |
| accuracy | 38.68304369755542 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.00390625 | (-.f64 (+.f64 y x) #s(literal 2 binary64)) | |
| accuracy | 0.045253759768442016 | (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) | |
| accuracy | 0.08984375 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 37.0ms | 256× | 0 | valid |
Compiled 110 to 19 computations (82.7% saved)
ival-sub: 6.0ms (37.3% of total)ival-div: 6.0ms (37.3% of total)ival-add: 3.0ms (18.7% of total)ival-neg: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 #s(literal 2 binary64) x)) (patch (/.f64 x (-.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2 binary64) x) (patch (-.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 (+ x y)) (neg.f64 x)) (patch #s(approx (- 2 (+ x y)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (patch #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ x (- x 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- x 2) x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (patch (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (- x 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x y) 2) (taylor 0 y) (#s(alt (-.f64 (+.f64 y x) #s(literal 2 binary64)) (patch (-.f64 (+.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y))) |
| 1.0ms | x | @ | inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y))) |
| 1.0ms | x | @ | -inf | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y))) |
| 1.0ms | x | @ | 0 | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y))) |
| 1.0ms | y | @ | 0 | ((/ 1 (/ (- (+ y x) 2) (- y x))) (/ (- (+ y x) 2) (- y x)) (- (+ y x) 2) (+ y x) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (neg x) (/ (- x y) (- 2 (+ x y))) (- 2 (+ x y))) |
| 1× | egg-herbie |
| 7 460× | lower-fma.f64 |
| 7 460× | lower-fma.f32 |
| 3 566× | lower-*.f64 |
| 3 566× | lower-*.f32 |
| 3 338× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 4332 |
| 1 | 1538 | 4010 |
| 2 | 4987 | 3931 |
| 0 | 8359 | 3701 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ x (- x 2))) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(* -1 (/ (- x 2) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(- x 2) |
(- (+ x y) 2) |
(- (+ x y) 2) |
(- (+ x y) 2) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2))) (* 2 (/ 1 y))))) (/ x y)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* 2 (/ 1 y)) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) (pow y 3))))) (+ (/ x y) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) (pow y 2)))) |
1 |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2)))) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(- (+ 1 (+ (/ x y) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (+ 2 (* -1 x)))) (pow y 2))) (* 2 (/ 1 y))))) |
y |
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y)))) |
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y)))) |
(* y (- (+ 1 (/ x y)) (* 2 (/ 1 y)))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) (/ x y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (/ (* (- x 2) (- (+ 2 (* -1 x)) x)) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ 2 (* -1 x)) x)) (* -1 (/ (+ (* -1 (* (- x 2) (- (+ 2 (* -1 x)) x))) (/ (* (pow (- x 2) 2) (- (+ 2 (* -1 x)) x)) y)) y))) y))) |
1 |
(- (+ 1 (/ x y)) (+ (* -1 (/ x y)) (* 2 (/ 1 y)))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (* x (- x (+ 2 (* -1 x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- x (+ 2 (* -1 x)))) (* -1 (/ (+ (* x (- x (+ 2 (* -1 x)))) (/ (* (pow x 2) (- x (+ 2 (* -1 x)))) y)) y))) y))) |
y |
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1))) |
(* -1 (* y (- (* -1 (/ (- x 2) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(/ y (- y 2)) |
(+ (* -1 (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (/ (* x (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2)))) (- y 2)) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(+ (* x (- (* x (- (* -1 (* x (+ (/ 1 (pow (- y 2) 3)) (/ y (pow (- y 2) 4))))) (* -1 (/ (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))) (- y 2))))) (+ (/ 1 (- y 2)) (/ y (pow (- y 2) 2))))) (/ y (- y 2))) |
(/ (- y 2) y) |
(- (+ 1 (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (/ 1 y) (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- (+ 1 (* x (- (+ (* x (- (/ (* x (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2))))) (pow y 2)) (* -1 (/ (- (/ 1 y) (* -1 (/ (- y 2) (pow y 2)))) y)))) (/ 1 y)) (* -1 (/ (- y 2) (pow y 2)))))) (* 2 (/ 1 y))) |
(- y 2) |
(- (+ x y) 2) |
(- (+ x y) 2) |
(- (+ x y) 2) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
2 |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
-1 |
(- (/ y x) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (* -1 (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))) (/ y x)) (+ 1 (* -1 (/ (- y 2) x)))) |
(- (+ (/ y x) (/ (* (pow (- y 2) 2) (- y (* -1 (- y 2)))) (pow x 3))) (+ 1 (+ (* -1 (/ (- y 2) x)) (/ (* (- y 2) (- y (* -1 (- y 2)))) (pow x 2))))) |
-1 |
(- (* -1 (/ (- y 2) x)) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
x |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x)))) |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x)))) |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
-1 |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
-1 |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
x |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* -1 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
| Outputs |
|---|
(* -1 (/ x (- x 2))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (/ x (- x 2))) (* y (- (/ 1 (- x 2)) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (* -1 (/ x (pow (- x 2) 3))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* -1 (/ x (- x 2))) (* y (- (+ (* y (- (+ (* -1 (/ x (pow (- x 2) 3))) (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- x 2) 4)))))) (/ 1 (pow (- x 2) 2)))) (/ 1 (- x 2))) (* -1 (/ x (pow (- x 2) 2)))))) |
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(* -1 (/ (- x 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) x) x) |
(+ (* -1 (/ (- x 2) x)) (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) x)) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) (/.f64 y x) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(+ (* -1 (/ (- x 2) x)) (* y (- (+ (* 2 (/ 1 (pow x 2))) (* y (- (/ (* y (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x)))) (pow x 2)) (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 x))) x))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) x)) y (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x))) y (/.f64 (-.f64 #s(literal 2 binary64) x) x)) |
(- x 2) |
(-.f64 x #s(literal 2 binary64)) |
(- (+ x y) 2) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(- (+ x y) 2) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(- (+ x y) 2) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
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(*.f64 #s(literal 1/2 binary64) x) |
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(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
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#s(literal -1 binary64) |
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#s(literal -1 binary64) |
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(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) #s(literal 1 binary64)) |
(- (+ (* -1 (/ (- y 2) x)) (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (+ 1 (/ y x))) |
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(- (+ (* -1 (/ (- y 2) x)) (/ (* (pow y 2) (- (* -1 (- y 2)) y)) (pow x 3))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (- y 2)) y)) (pow x 2))) (/ y x)))) |
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x |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) x x) |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) x x) |
(* x (- (+ 1 (/ y x)) (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) x x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
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#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
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(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
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(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
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#s(literal -1 binary64) |
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(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
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x |
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(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (+ 2 (* -1 y)) y) x)) 1) |
(-.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (* (- y 2) (- (+ 2 (* -1 y)) y)) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) (-.f64 y #s(literal 2 binary64)) y)) x)) |
(- (* -1 (/ (- (+ 2 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (* (pow (- y 2) 2) (- (+ 2 (* -1 y)) y)) x)) (* -1 (* (- y 2) (- (+ 2 (* -1 y)) y)))) x)))) y) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) x)) y) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- y (+ 2 (* -1 y))) x)) 1) |
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ y (/ (* y (- y (+ 2 (* -1 y)))) x)) (+ 2 (* -1 y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) y (-.f64 y (-.f64 #s(literal 2 binary64) y))) x)) |
(- (* -1 (/ (- (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (- y (+ 2 (* -1 y)))) x)) (* y (- y (+ 2 (* -1 y))))) x))) (+ 2 (* -1 y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) x) (*.f64 y y) (*.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) y)) x)) (-.f64 #s(literal 2 binary64) y)) x)) |
x |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) x x) |
(* -1 (* x (- (* -1 (/ (- y 2) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y #s(literal 2 binary64)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) x)) (/.f64 #s(literal 4 binary64) x)) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) x (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) (pow.f64 (-.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) |
| 6 066× | lower-/.f32 |
| 6 056× | lower-/.f64 |
| 4 556× | lower-*.f64 |
| 4 556× | lower-*.f32 |
| 3 208× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 109 |
| 0 | 35 | 109 |
| 1 | 173 | 107 |
| 2 | 1444 | 107 |
| 0 | 8757 | 107 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) |
(-.f64 (+.f64 y x) #s(literal 2 binary64)) |
(+.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(-.f64 #s(literal 2 binary64) x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 y x) (-.f64 y x)))) (-.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 x y) (-.f64 x y)))) (-.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (+.f64 x y))) |
(*.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (+.f64 x y) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (/.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 y x) (-.f64 x y))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 x y) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (-.f64 y x) (-.f64 x y))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (-.f64 x y) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
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(fma.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (-.f64 x y) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal -2 binary64)) |
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(-.f64 (+.f64 x y) #s(literal 2 binary64)) |
(+.f64 (-.f64 x #s(literal 2 binary64)) y) |
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(+.f64 x y) |
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(-.f64 #s(literal 2 binary64) x) |
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(fma.f64 x (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))))) (/.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (*.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))))))) |
(-.f64 (/.f64 (*.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) y) (pow.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (+.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 x y) (neg.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))) |
(-.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) (-.f64 x y))) #s(literal -1 binary64))) |
(+.f64 (/.f64 x #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 y #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))))) |
#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)) |
Compiled 22 948 to 2 774 computations (87.9% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 038 | 6 | 1 044 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 040 | 17 | 1 057 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 66.5% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) |
| 34.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) | |
| ✓ | 39.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ▶ | 28.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
| 51.5% | (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| ▶ | 90.1% | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 47.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (+.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)))) | |
| 50.3% | (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) | |
| 46.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) | |
| ✓ | 54.0% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ▶ | 15.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| ▶ | 15.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| 16.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) | |
| ▶ | 34.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 39.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 271 to 227 computations (16.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | #s(approx (- 2 x) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| cost-diff | 1024 | (fma.f64 (/.f64 y (neg.f64 x)) x x) |
| 6 226× | lower-fma.f32 |
| 6 216× | lower-fma.f64 |
| 2 842× | lower-*.f32 |
| 2 838× | lower-*.f64 |
| 2 322× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 232 |
| 0 | 56 | 236 |
| 1 | 92 | 236 |
| 2 | 162 | 220 |
| 3 | 344 | 220 |
| 4 | 781 | 220 |
| 5 | 2423 | 220 |
| 6 | 4933 | 220 |
| 7 | 7535 | 220 |
| 0 | 8221 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(/.f64 y (neg.f64 x)) |
y |
(neg.f64 x) |
x |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) |
#s(approx (- 2 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) |
#s(literal 1/16 binary64) |
x |
#s(literal 1/8 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(approx (- x y) (-.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
#s(approx (- x y) (-.f64 x y)) |
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(-.f64 x y) |
(/.f64 y (neg.f64 x)) |
y |
(neg.f64 x) |
x |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/4 binary64) |
x |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) |
#s(approx (- 2 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) |
#s(literal 1/16 binary64) |
x |
#s(literal 1/8 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) | |
| accuracy | 0.0703125 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) | |
| accuracy | 29.454205257737012 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) | |
| accuracy | 31.402420732515534 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) | |
| accuracy | 21.416278496000707 | #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) | |
| accuracy | 31.023140885407713 | #s(approx (- 2 x) #s(literal 2 binary64)) | |
| accuracy | 0 | (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) | |
| accuracy | 29.454205257737012 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) | |
| accuracy | 31.495147003301888 | #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) | |
| accuracy | 41.92694032766434 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| accuracy | 0.0234375 | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 6.131459119765673 | (fma.f64 (/.f64 y (neg.f64 x)) x x) |
| 71.0ms | 256× | 0 | valid |
Compiled 162 to 30 computations (81.5% saved)
ival-mult: 9.0ms (34.1% of total)ival-add: 6.0ms (22.7% of total)ival-div: 5.0ms (18.9% of total)ival-sub: 4.0ms (15.1% of total)exact: 1.0ms (3.8% of total)ival-neg: 1.0ms (3.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 y (neg.f64 x)) x x) (patch (fma.f64 (/.f64 y (neg.f64 x)) x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (patch #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (neg.f64 x)) (patch (/.f64 y (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ()) |
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#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
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#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/16 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8) x)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/16 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | ((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (- 2 (+ x y))) |
| 2.0ms | x | @ | inf | ((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (- 2 (+ x y))) |
| 1.0ms | x | @ | -inf | ((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (- 2 (+ x y))) |
| 1.0ms | x | @ | 0 | ((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (- 2 (+ x y))) |
| 1.0ms | y | @ | inf | ((+ (* (/ y (neg x)) x) x) (/ (- x y) (- 2 (+ x y))) (- x y) (/ y (neg x)) (/ (- x y) (- 2 (+ x y))) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* 1/4 x) 1/2) x) (+ (* 1/4 x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (- 2 x) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (- 2 (+ x y))) |
| 1× | egg-herbie |
| 13 936× | lower-fma.f64 |
| 13 936× | lower-fma.f32 |
| 5 360× | lower-*.f64 |
| 5 360× | lower-*.f32 |
| 4 400× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 266 | 4345 |
| 1 | 841 | 4110 |
| 2 | 2562 | 3773 |
| 0 | 8358 | 3551 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 y) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* 1/4 x))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* 1/4 x)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
2 |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
(+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/16 (pow x 4)) |
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* 1/16 (pow x 4)) |
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(* (pow x 4) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8) x)))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
| Outputs |
|---|
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) y) (/.f64 y (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+.f64 (/.f64 y (-.f64 x #s(literal 2 binary64))) (fma.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) x)))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
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#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) x) (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(-.f64 #s(literal 2 binary64) x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(-.f64 #s(literal 2 binary64) x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(-.f64 #s(literal 2 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal 2 binary64) y) x) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) x) x) (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal 4 binary64)) x) x)) |
(* 1/16 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) |
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 x #s(literal 4 binary64))) |
(* 1/16 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) |
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x) x) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) #s(literal 1/8 binary64))) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
(*.f64 (*.f64 x x) (fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(fma.f64 x (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 2 binary64)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x)) x)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x)) x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x)) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) x)) x)) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* (pow x 2) (+ 1/4 (* 1/2 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/4 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x)) x)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(* -1 (* x (- (/ y x) 1))) |
(fma.f64 (neg.f64 x) (/.f64 y x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal 2 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x))) x)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) x) (-.f64 #s(literal 2 binary64) y))) x)) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) x)) x)) |
(* 1/16 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) |
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8) x)))) |
(*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64))) |
(* 1/16 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) |
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/8 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/4 binary64) x)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
| 5 570× | lower-/.f32 |
| 5 564× | lower-/.f64 |
| 4 182× | lower-*.f32 |
| 4 178× | lower-*.f64 |
| 3 690× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 201 |
| 0 | 56 | 201 |
| 1 | 219 | 201 |
| 2 | 1617 | 201 |
| 0 | 8631 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y (neg.f64 x)) x x) |
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) |
(/.f64 y (neg.f64 x)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) |
#s(approx (- 2 x) #s(literal 2 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (/.f64 y (neg.f64 x)) x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (neg.f64 x)) x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y (neg.f64 x)) x (neg.f64 x))))) |
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 2 binary64) y) (fma.f64 x x (*.f64 (-.f64 #s(literal 2 binary64) y) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (fma.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (+.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y))))) |
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (+.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y) (+.f64 (+.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (+.f64 (-.f64 #s(literal 2 binary64) x) y)) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y)))))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 2 binary64) x) y) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y))) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y))) (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y))))) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 x y) (-.f64 x y)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 2 binary64) x))) (neg.f64 y)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))) (neg.f64 y)) |
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (neg.f64 x))) (neg.f64 y)) |
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (neg.f64 y)) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))) #s(literal 2 binary64)) |
(fma.f64 #s(literal -1 binary64) (+.f64 x y) #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x))))) (neg.f64 y)) |
(fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 y)) |
(fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) #s(literal 2 binary64)) |
(fma.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) (neg.f64 y)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x) (neg.f64 y)) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 2 binary64) x) y)) (/.f64 (*.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y)))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y))))) |
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 2 binary64) x) y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) x) y))) |
(-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (fma.f64 (+.f64 x y) (+.f64 (+.f64 #s(literal 2 binary64) x) y) #s(literal 4 binary64)))) |
(-.f64 (-.f64 #s(literal 2 binary64) x) (/.f64 y #s(literal 1 binary64))) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x y) #s(literal 1 binary64))) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(+.f64 (neg.f64 (+.f64 x y)) #s(literal 2 binary64)) |
(+.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y)) |
(+.f64 #s(literal 2 binary64) (-.f64 (neg.f64 x) y)) |
(+.f64 #s(literal 2 binary64) (neg.f64 (+.f64 x y))) |
Compiled 15 941 to 2 077 computations (87% saved)
19 alts after pruning (8 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 786 | 4 | 790 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 788 | 19 | 807 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 66.5% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) |
| ▶ | 34.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) |
| ✓ | 39.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 28.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
| ▶ | 51.5% | (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 90.1% | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 90.0% | (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ▶ | 14.8% | (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 47.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (+.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)))) | |
| 46.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) | |
| ✓ | 54.0% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ✓ | 15.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| ✓ | 15.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ▶ | 16.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
| 3.2% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) | |
| ✓ | 34.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 39.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 250 to 218 computations (12.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 y x) (-.f64 y x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) | |
| cost-diff | 1728 | (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) (neg.f64 y)) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) | |
| cost-diff | 0 | #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) x) y) | |
| cost-diff | 1024 | (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) |
| 8 480× | lower-fma.f32 |
| 8 478× | lower-fma.f64 |
| 2 732× | lower-*.f32 |
| 2 724× | lower-*.f64 |
| 1 438× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 288 |
| 0 | 68 | 281 |
| 1 | 116 | 278 |
| 2 | 245 | 278 |
| 3 | 831 | 249 |
| 4 | 2902 | 249 |
| 5 | 5913 | 249 |
| 0 | 8249 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) |
(*.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) |
#s(approx (- 2 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) |
#s(literal 1 binary64) |
(neg.f64 (+.f64 y x)) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(literal 2 binary64) |
(+.f64 x y) |
| Outputs |
|---|
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(approx (- x y) (-.f64 x y)) (-.f64 (-.f64 #s(literal 2 binary64) y) x)) |
#s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) |
#s(approx (- x y) (-.f64 x y)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) |
(-.f64 x y) |
(*.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 (neg.f64 y) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
y |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) |
#s(approx (- 2 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) |
(-.f64 x y) |
x |
y |
#s(approx (- 2 (+ x y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 y x) (-.f64 (+.f64 y x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(-.f64 x y) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(*.f64 (-.f64 y x) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(-.f64 y x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) |
(/.f64 #s(literal -1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(neg.f64 (+.f64 y x)) |
(-.f64 (neg.f64 y) x) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
#s(literal 2 binary64) |
(+.f64 x y) |
(+.f64 y x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) | |
| accuracy | 0.0234375 | (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 29.93178732604198 | (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0234375 | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) | |
| accuracy | 41.66393294190111 | #s(approx (- 2 (+ x y)) (neg.f64 y)) | |
| accuracy | 0.0234375 | (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) | |
| accuracy | 21.416278496000707 | #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) | |
| accuracy | 31.023140885407713 | #s(approx (- 2 x) #s(literal 2 binary64)) | |
| accuracy | 33.7909065264842 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 0.04296875 | (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) | |
| accuracy | 29.454205257737012 | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) | |
| accuracy | 31.246847299145262 | #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 31.402420732515534 | #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 2 binary64) (+.f64 x y)) | |
| accuracy | 0.0234375 | (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| accuracy | 0.2265625 | (*.f64 (/.f64 #s(literal -1 binary64) x) y) | |
| accuracy | 6.131459119765673 | (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) |
| 69.0ms | 256× | 0 | valid |
Compiled 201 to 36 computations (82.1% saved)
ival-sub: 20.0ms (41.3% of total)ival-mult: 11.0ms (22.7% of total)ival-div: 8.0ms (16.5% of total)ival-add: 7.0ms (14.5% of total)ival-neg: 2.0ms (4.1% of total)exact: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) (patch (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (patch #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) (patch #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) (patch #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 (+ x y)) (neg.f64 y)) (patch #s(approx (- 2 (+ x y)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (patch (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) (patch (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) (patch (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) (patch (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) (patch (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y x)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (patch #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (patch #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (patch #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (patch #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 2 x)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())) ()) |
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#s(alt (- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (* y (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))) x)) (+ (/ (* (- (+ 2 (* -1 y)) y) (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))))) x) (pow y 2))) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (patch (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) (-.f64 y x)) (patch (*.f64 (+.f64 y x) (-.f64 y x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (+.f64 x y)) (patch (-.f64 #s(literal 2 binary64) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 x) #s(literal 2 binary64)) (patch #s(approx (- 2 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | y | @ | -inf | ((+ (* (* (/ -1 x) y) x) x) (* (/ -1 x) y) (/ (- x y) (- 2 (+ x y))) (- x y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (- 2 (+ x y)) (- 2 x)) |
| 9.0ms | y | @ | inf | ((+ (* (* (/ -1 x) y) x) x) (* (/ -1 x) y) (/ (- x y) (- 2 (+ x y))) (- x y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (- 2 (+ x y)) (- 2 x)) |
| 2.0ms | y | @ | 0 | ((+ (* (* (/ -1 x) y) x) x) (* (/ -1 x) y) (/ (- x y) (- 2 (+ x y))) (- x y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (- 2 (+ x y)) (- 2 x)) |
| 2.0ms | x | @ | -inf | ((+ (* (* (/ -1 x) y) x) x) (* (/ -1 x) y) (/ (- x y) (- 2 (+ x y))) (- x y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (- 2 (+ x y)) (- 2 x)) |
| 2.0ms | x | @ | inf | ((+ (* (* (/ -1 x) y) x) x) (* (/ -1 x) y) (/ (- x y) (- 2 (+ x y))) (- x y) (/ (- x y) (- 2 (+ x y))) (/ x (- 2 x)) (* (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) x) (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) (/ (- x y) (- 2 (+ x y))) (- x y) (neg y) (- 2 (+ x y)) (/ (- x y) (- 2 (+ x y))) (- x y) (- 2 (+ x y)) (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (/ 1 (neg (+ y x))) (/ (* (* (+ y x) (- y x)) (/ 1 (neg (+ y x)))) (- 2 (+ x y))) (* (+ y x) (- y x)) (- 2 (+ x y)) (- 2 x)) |
| 1× | egg-herbie |
| 7 680× | lower-fma.f64 |
| 7 680× | lower-fma.f32 |
| 4 758× | lower-*.f64 |
| 4 758× | lower-*.f32 |
| 3 062× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 543 | 5304 |
| 1 | 1782 | 4824 |
| 2 | 5788 | 4724 |
| 0 | 8815 | 4492 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(/ x (- 2 x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(/ -1 x) |
(- (/ y (pow x 2)) (/ 1 x)) |
(- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ x (- 2 x)) |
(+ (* -1 (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2))))) (/ x (- 2 x))) |
(+ (* y (+ (* -1 (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (* -1 (/ (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (- 2 x))))) (/ x (- 2 x))) |
(+ (* y (+ (* -1 (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (* y (+ (* -1 (/ (* y (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2)))) (pow (- 2 x) 2))) (* -1 (/ (- (/ 1 (- 2 x)) (/ x (pow (- 2 x) 2))) (- 2 x))))))) (/ x (- 2 x))) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) |
(- 2 x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(- (+ 2 (* -1 y)) x) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(/ -1 y) |
(/ (- (/ x y) 1) y) |
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ x y)))) y) |
(/ (- (/ (pow x 3) (pow y 3)) (+ 1 (+ (* -1 (/ x y)) (/ (pow x 2) (pow y 2))))) y) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (+ (* -1 (/ (* (- 2 x) (- (* 2 x) 2)) (pow y 2))) (* -1 (/ (- (* 2 x) 2) y)))) |
(+ 1 (+ (* -1 (/ (* (- 2 x) (- (* 2 x) 2)) (pow y 2))) (+ (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) (pow y 3))) (* -1 (/ (- (* 2 x) 2) y))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) |
(* -1 y) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
1 |
(+ 1 (* -1 (/ (- (* 2 x) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(/ -1 y) |
(* -1 (/ (+ 1 (* -1 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y))) y)) |
1 |
(- (+ 1 (+ (* -1 (/ x y)) (/ x y))) (* -1 (/ (- (+ 2 (* -1 x)) x) y))) |
(+ 1 (* -1 (/ (- (+ (* -1 (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) (/ (pow x 2) y)) (+ (/ (* x (- 2 x)) y) (/ (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))) (* -1 (/ (+ (* -1 (- (pow x 2) (+ (* x (- 2 x)) (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x))))))) (* -1 (/ (+ (* -1 (* x (* (- 2 x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))))) (* (- (+ 2 (* -1 x)) x) (- (pow x 2) (+ (* x (- 2 x)) (* (- (+ 2 (* -1 x)) x) (- (+ x (* -1 x)) (* -1 (- (+ 2 (* -1 x)) x)))))))) y))) y))) y))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1 (/ x y)) (/ x y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ x (* -1 x))) (/ (pow x 2) y)) y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y))))) |
(* -1 y) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/4 x))) |
(* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))) |
(* x (+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x))))))) |
1/2 |
(+ 1/2 (* 1/4 x)) |
(+ 1/2 (* x (+ 1/4 (* 1/8 x)))) |
(+ 1/2 (* x (+ 1/4 (* x (+ 1/8 (* 1/16 x)))))) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(* -1 y) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(/ -1 y) |
(- (/ x (pow y 2)) (/ 1 y)) |
(- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* x (+ (* x (- (/ x (pow y 4)) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(* -1 (/ y (- 2 y))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (/ 1 (- 2 y))))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (/ 1 (pow (- 2 y) 2)))) (/ 1 (- 2 y)))))) |
(+ (* -1 (/ y (- 2 y))) (* x (+ (* -1 (/ y (pow (- 2 y) 2))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 3))) (+ (* x (+ (* -1 (/ y (pow (- 2 y) 4))) (/ 1 (pow (- 2 y) 3)))) (/ 1 (pow (- 2 y) 2))))) (/ 1 (- 2 y)))))) |
(pow y 2) |
(+ (* x (+ y (* -1 y))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(+ (* x (+ y (+ (* -1 x) (* -1 y)))) (pow y 2)) |
(- 2 y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
(- (+ 2 (* -1 x)) y) |
2 |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
(+ 2 (* -1 x)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(* 1/16 (pow x 4)) |
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(* (pow x 3) (+ 1/16 (+ (/ 1/4 (pow x 2)) (+ (* 1/8 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x)))) |
(- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x))))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ -1 x) |
(/ (- (/ y x) 1) x) |
(/ (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (* -1 (/ y x)))) x) |
(/ (- (/ (pow y 3) (pow x 3)) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2))))) x) |
-1 |
(- (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x)) 1) |
(- (+ (* -1 (/ (* (- 2 y) (- (* -1 y) (* -1 (- 2 y)))) (pow x 2))) (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x))) 1) |
(- (+ (* -1 (/ (* (- 2 y) (- (* -1 y) (* -1 (- 2 y)))) (pow x 2))) (+ (* -1 (/ (* (pow (- 2 y) 2) (- (* -1 y) (* -1 (- 2 y)))) (pow x 3))) (* -1 (/ (- (* -1 y) (* -1 (- 2 y))) x)))) 1) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (/ y x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ y x)) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1)) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x)))) |
(* -1 x) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
(* x (- (* 2 (/ 1 x)) 1)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
(* -1 (/ y x)) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
-1 |
(* -1 (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) 1) |
(- (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) 1) |
(* 1/16 (pow x 4)) |
(* (pow x 4) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* (pow x 4) (+ 1/16 (+ (/ 1/4 (pow x 2)) (* 1/8 (/ 1 x))))) |
(* (pow x 4) (+ 1/16 (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x)) 1/8) x)))) |
(* 1/16 (pow x 3)) |
(* (pow x 3) (+ 1/16 (* 1/8 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
-1 |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
-1 |
(- (* -1 (/ (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (* y (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))) x)) (+ (/ (* (- (+ 2 (* -1 y)) y) (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))))) x) (pow y 2))) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
| Outputs |
|---|
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(* -1 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))) y (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))) y (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))) y (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))) y (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(- 2 x) |
(-.f64 #s(literal 2 binary64) x) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(- (+ 2 (* -1 y)) x) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(/ x (- 2 x)) |
(/.f64 x (-.f64 #s(literal 2 binary64) x)) |
(+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) y (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x))) |
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(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (* 1/4 (/ 1 x))) x)) 1/16))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/8 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/8 (+ (/ 1/2 (pow x 2)) (* 1/4 (/ 1 x)))) x)) 1/16))) |
(*.f64 (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/4 binary64) x)) x))) (pow.f64 x #s(literal 3 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x)))) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (-.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) x) (pow.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64)) (-.f64 #s(literal 2 binary64) y))) x) (fma.f64 #s(literal 2 binary64) y #s(literal -2 binary64))) x) #s(literal 1 binary64)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* -1 (/ y x))) x)) |
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x))) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 x))) x)) x) #s(literal -1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(-.f64 (/.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) |
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) (/.f64 (fma.f64 y (-.f64 y (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 (-.f64 #s(literal 2 binary64) y) y))) x)) x)) |
(- (* -1 (/ (- (+ y (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (* y (* (- 2 y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))) x)) (+ (/ (* (- (+ 2 (* -1 y)) y) (- (pow y 2) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y))))))) x) (pow y 2))) (+ (* y (- 2 y)) (* (- (+ 2 (* -1 y)) y) (- (+ y (* -1 y)) (* -1 (- (+ 2 (* -1 y)) y)))))) x)))) (* -1 (- (+ 2 (* -1 y)) y))) x)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 2 binary64) y) y) (/.f64 (fma.f64 (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (/.f64 (-.f64 #s(literal 2 binary64) y) x)) y (fma.f64 (/.f64 (fma.f64 y (-.f64 y (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 (-.f64 #s(literal 2 binary64) y) y))) x) (-.f64 (-.f64 #s(literal 2 binary64) y) y) (fma.f64 y (-.f64 y (-.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 (-.f64 #s(literal 2 binary64) y) y))))) x)) x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1 (/ (+ y (* -1 y)) x)) 1)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (pow y 2) x)))) x)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) x (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)) |
(* -1 (* x (- 1 (* 2 (/ 1 x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (neg.f64 x)) |
| 4 894× | lower-/.f32 |
| 4 882× | lower-/.f64 |
| 3 774× | lower-*.f32 |
| 3 766× | lower-*.f64 |
| 2 832× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 248 |
| 0 | 68 | 240 |
| 1 | 270 | 222 |
| 2 | 2097 | 222 |
| 0 | 8334 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x) |
(*.f64 (/.f64 #s(literal -1 binary64) x) y) |
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x) |
#s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) |
(-.f64 x y) |
#s(approx (- 2 (+ x y)) (neg.f64 y)) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (+.f64 y x) (-.f64 y x)) |
(-.f64 #s(literal 2 binary64) (+.f64 x y)) |
#s(approx (- 2 x) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x))) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 y) x) x) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 y) x) x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x)) y x) |
(fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 (/.f64 (neg.f64 y) x) x x) |
(fma.f64 y (*.f64 (/.f64 #s(literal -1 binary64) x) x) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y x) x) |
(fma.f64 x (/.f64 (neg.f64 y) x) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y x)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x))) (/.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 y) x) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (neg.f64 y) x) x (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 (neg.f64 y) x) x) x) |
(+.f64 x (*.f64 (/.f64 (neg.f64 y) x) x)) |
(*.f64 (neg.f64 y) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) y) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 y x)) |
(pow.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 y x)) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (neg.f64 x)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) |
(/.f64 (neg.f64 y) (neg.f64 (*.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (*.f64 x #s(literal -1 binary64))) |
(/.f64 y (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (neg.f64 y)))) |
(neg.f64 (/.f64 y x)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 y x)) |
(*.f64 (/.f64 #s(approx (- x y) (fma.f64 (/.f64 (neg.f64 y) x) x x)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (+.f64 (+.f64 y x) #s(literal 2 binary64))) |
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(pow.f64 (/.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (neg.f64 y)) (+.f64 #s(literal 2 binary64) (neg.f64 y)) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 8 binary64)) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (+.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 2 binary64) (neg.f64 x)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 2 binary64) (neg.f64 x)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal 2 binary64) (neg.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 2 binary64) (neg.f64 x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) y) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (neg.f64 x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (neg.f64 (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) y) (*.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) y) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (*.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 y y)) (+.f64 (-.f64 #s(literal 2 binary64) x) y)) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x))))) |
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(/.f64 (+.f64 #s(literal -2 binary64) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))))) |
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (neg.f64 y)) |
(fma.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 y)) |
(fma.f64 (-.f64 (neg.f64 y) x) #s(literal 1 binary64) #s(literal 2 binary64)) |
(fma.f64 (+.f64 y x) #s(literal -1 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal -1 binary64) (+.f64 y x) #s(literal 2 binary64)) |
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 2 binary64) x) y)) (/.f64 (*.f64 y y) (+.f64 (-.f64 #s(literal 2 binary64) x) y))) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (-.f64 #s(literal 2 binary64) x) y))))) |
(-.f64 (-.f64 #s(literal 2 binary64) y) x) |
(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (+.f64 (+.f64 y x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) (+.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(-.f64 (-.f64 #s(literal 2 binary64) x) y) |
(-.f64 #s(literal 2 binary64) (+.f64 y x)) |
(+.f64 (+.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 x)) |
(+.f64 (-.f64 (neg.f64 y) x) #s(literal 2 binary64)) |
(+.f64 (-.f64 #s(literal 2 binary64) x) (neg.f64 y)) |
(+.f64 #s(literal 2 binary64) (-.f64 (neg.f64 y) x)) |
#s(approx (- 2 x) #s(literal 2 binary64)) |
Compiled 21 480 to 2 292 computations (89.3% saved)
19 alts after pruning (5 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 012 | 2 | 1 014 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 11 | 11 |
| Total | 1 014 | 19 | 1 033 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| ✓ | 66.5% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) |
| ✓ | 34.8% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) |
| ✓ | 39.7% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
| ✓ | 28.4% | (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
| 25.8% | (/.f64 (*.f64 #s(approx (* (+ y x) (- y x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) | |
| ✓ | 90.1% | (/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 51.0% | (/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) | |
| ✓ | 14.8% | (/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
| ✓ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
| 47.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (+.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)))) | |
| 46.9% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) | |
| ✓ | 54.0% | #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| ✓ | 15.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
| ✓ | 15.7% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
| ✓ | 16.1% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
| 3.2% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) | |
| ✓ | 34.5% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| ✓ | 39.6% | #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
Compiled 414 to 249 computations (39.9% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (+ y x) 2) (- y x)) (+.f64 (/.f64 (-.f64 x (-.f64 #s(literal 2 binary64) x)) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) |
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(approx (- x y) (fma.f64 (/.f64 y (neg.f64 x)) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 #s(approx (- x y) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) x x)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 y x)) (+.f64 y x)))) |
(/.f64 (*.f64 #s(approx (* (+ y x) (- y x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (+.f64 y x)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
3 calls:
| 8.0ms | x |
| 7.0ms | y |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
3 calls:
| 30.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 3 | x |
| 85.5% | 3 | y |
| 98.7% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
1 calls:
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (-.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 #s(approx (- x y) (neg.f64 y)) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
2 calls:
| 5.0ms | y |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 3 | y |
| 84.6% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 10 to 9 computations (10% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/16 x) 1/8) x) 1/4) x) 1/2) #s(literal 1/2 binary64)) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(approx (+ (* 1/4 x) 1/2) (*.f64 #s(literal 1/4 binary64) x)) x))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)) |
2 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 3 | x |
| 72.4% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 10 to 9 computations (10% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.6% | 1 | y |
| 39.6% | 1 | x |
| 39.6% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
Compiled 11 to 11 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.344661620076792e-17 | 1.578862108709972e-10 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.344661620076792e-17 | 1.578862108709972e-10 |
| 0.0ms | -2.4527152936676335e-5 | -1.7257116201393586e-6 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -9.155378175221275e-151 | -7.703965246547877e-166 |
Compiled 12 to 12 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.344661620076792e-17 | 1.578862108709972e-10 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.344661620076792e-17 | 1.578862108709972e-10 |
| 0.0ms | -0.9577020062074272 | -0.09185847168700988 |
Compiled 12 to 12 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.344661620076792e-17 | 1.578862108709972e-10 |
| 0.0ms | -0.9577020062074272 | -0.09185847168700988 |
Compiled 12 to 12 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -2.449511091479958e-262 | 6.284452900068954e-251 |
| 4.0ms | 208× | 0 | valid |
Compiled 64 to 142 computations (-121.9% saved)
ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16× | +-commutative-binary64-+.f64 |
| 12× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 10× | *-commutative-binary64-*.f64 |
| 6× | neg-sub0-binary64--.f64-neg.f64 |
| 6× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 376 |
| 1 | 71 | 376 |
| 2 | 82 | 376 |
| 3 | 90 | 376 |
| 4 | 93 | 376 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 x) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 #s(literal -2 binary64) y)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/2 binary64)) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal 2028240960365167/40564819207303340847894502572032 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 y x))) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) |
| 12 038× | lower-fma.f64 |
| 12 038× | lower-fma.f32 |
| 7 460× | lower-fma.f64 |
| 7 460× | lower-fma.f32 |
| 4 472× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 4332 |
| 1 | 1538 | 4010 |
| 2 | 4987 | 3931 |
| 0 | 8359 | 3701 |
| 0 | 186 | 985 |
| 1 | 571 | 921 |
| 2 | 1809 | 857 |
| 3 | 7619 | 851 |
| 0 | 8589 | 806 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 277 to 138 computations (50.2% saved)
Compiled 466 to 134 computations (71.2% saved)
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